School: Grade Level: 7

DAILY LESSON LOG Teacher: Learning Area: Math

Teaching Dates & Time: Week 8 Quarter: 2nd Quarter

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

Objective
A. Content 4. sets and subsets, 4. sets and subsets, 4. sets and subsets, and 4. sets and subsets, 4. sets and subsets, and
Standards and the and the the and the the
union and intersection of union and intersection union and intersection of union and intersection union and intersection of
sets using Venn of sets using Venn diagrams of sets using Venn
diagrams sets using Venn 5. subset of real numbers sets using Venn diagrams
5. subset of real diagrams diagrams 5. subset of real numbers
numbers 5. subset of real 5. subset of real
numbers numbers

B. Performance By the end of the By the end of the By the end of the quarter, By the end of the By the end of the quarter,
Standards quarter, the learners are quarter, the learners the learners are able to … quarter, the learners the learners are able to
able to … are able to … • determine square roots are able to … …
• determine square roots • determine square of perfect squares and • determine square • determine square roots
of perfect squares and roots of perfect squares cube roots of perfect roots of perfect squares of perfect squares and
cube roots of perfect and cube roots of cubes, and identify and cube roots of cube roots of perfect
cubes, and identify perfect cubes, and irrational numbers. (NA) perfect cubes, and cubes, and identify
irrational numbers. (NA) identify irrational • convert units of measure identify irrational irrational numbers. (NA)
• convert units of numbers. (NA) from different systems of numbers. (NA) • convert units of
measure from different • convert units of measure. (MG) • convert units of measure from different
systems of measure. measure from different • find the volume of measure from different systems of measure.
(MG) systems of measure. square and rectangular systems of measure. (MG)
• find the volume of (MG) pyramids, and the volume (MG) • find the volume of
square and rectangular • find the volume of of cylinders. (MG) • find the volume of square and rectangular
pyramids, and the square and rectangular • describe sets and their square and rectangular pyramids, and the
volume of cylinders. pyramids, and the subsets, and the union pyramids, and the volume of cylinders.
(MG) volume of cylinders. and intersection of sets. volume of cylinders. (MG)
• describe sets and their (MG) (NA) (MG) • describe sets and their
subsets, and the union • describe sets and their • illustrates sets and • describe sets and their subsets, and the union
and intersection of sets. subsets, and the union subsets, and union and subsets, and the union and intersection of sets.
(NA) and intersection of sets. intersection of sets, using and intersection of sets. (NA)
• illustrates sets and (NA) Venn diagrams. (NA) (NA) • illustrates sets and
subsets, and union and • illustrates sets and • illustrates sets and subsets, and union and

Created by: GREG M, Et al

 intersection of sets, subsets, and union and subsets, and union and intersection of sets, using
using Venn diagrams. intersection of sets, intersection of sets, Venn diagrams. (NA)
(NA) using Venn diagrams. using Venn diagrams.
(NA) (NA)

C. Learning illustrate sets and their illustrate sets and their illustrate the different illustrate the different illustrate sets and their
Competencies subsets, the union of subsets, the union of subsets of real numbers. subsets of real subsets, the union of
sets, and the sets, and the numbers. sets, and the intersection
intersection of sets, intersection of sets, of sets, through the
through the through the use of Venn diagrams.
use of Venn diagrams. use of Venn diagrams.

Content · Venn diagrams The lesson will focus on · Natural numbers · Extra Practice: The lesson will focus on
· Representation of sets the use of Venn · Whole numbers the use of Venn
and subsets using Venn diagrams to visually · Integers  Provide diagrams to visually
diagrams represent sets and their · Rational numbers additional represent sets and their
· Representation of relationships. It will · Irrational numbers worksheets or relationships. It will cover
union and intersection of cover how to draw · Operations with subsets online resources how to draw Venn
sets using Venn Venn diagrams for of real numbers for students who diagrams for subsets,
diagrams subsets, unions, and need more unions, and intersections,
intersections, and how practice with and how to interpret the
to interpret the subsets of real information presented in
information presented numbers. a Venn diagram.
in a Venn diagram.
· Peer Tutoring:

 Pair students
who grasped the
concepts quickly
with those who
need extra help
understanding
subsets of real
numbers.

· Interactive Online
Resources:

Created by: GREG M, Et al

  Direct students
to online
resources and
games for further
practice and
reinforcement of
subsets of real
numbers.

III. LEARNING
RESOURCES
A. References
Pages 66-75 Mathematics TG pp. Pages 76-85 Mathematics TG pp. Mathematics TG pp. 246-
246-250 251-255 250
Pages 81-90 Mathematics LM pp. Pages 91-100 Mathematics LM pp. Mathematics LM pp. 241-
241-245 246-250 245
Mathematics for Grade Mathematics for High "Mathematics for Grade 8" Mathematics for High Mathematics for High
7" by Author Name, School pp. 276-280 by Author Name, Pages School pp. 281-285 School pp. 276-280
Pages 111-125 126-140
· Worksheets on Venn Venn diagram · Worksheets on subsets Worksheets on real Venn diagram
diagrams worksheets, blank Venn of real numbers number subsets, worksheets, blank Venn
· Interactive Venn diagram templates · Interactive activities and number line templates diagram templates
diagram software or games on subsets of real
online tools numbers

Other Learning  Khan Academy Interactive Venn · Online videos explaining Real number subset Interactive Venn diagram
Resources videos on Venn diagram software, real- subsets of real numbers charts, online software, real-life
diagrams and set life examples that can · Online quizzes on interactive number lines examples that can be
operations be represented using subsets of real numbers represented using Venn
 Online quizzes Venn diagrams diagrams
and games
related to Venn
diagrams

IV. TEACHING AND

LEARNING

Created by: GREG M, Et al

PROCEDURES

Activating Prior · Activity: Quick review Begin with a review of · Activity: Quick review Begin with a review of · Activity: Quick review
Knowledge of set theory concepts the basic concept of of basic concepts of real the concept of real of set theory concepts
(sets, subsets, union, sets, elements, numbers. numbers and the (sets, subsets, union,
intersection). subsets, unions, and · Discussion: Ask number line. intersection).
· Discussion: Ask intersections. students to recall what Discuss briefly the · Discussion: Ask
students to share what Discuss briefly the they know about real importance of students to share what
they remember about importance of visual numbers and their categorizing numbers they remember about
sets and their representation in properties. into different subsets. sets and their operations.
operations. understanding set
relationships.

Lesson · Introduction: Explain Explain that today's · Introduction: Explain Explain that today's Explain that today's
Purpose/Intention the importance of Venn lesson will focus on the importance of lesson will focus on lesson will focus on using
diagrams in visualizing using Venn diagrams to understanding different identifying and Venn diagrams to
and solving problems illustrate set subsets of real numbers in illustrating the different illustrate set
involving sets. relationships, which will mathematics and subsets of real relationships, which will
· Objectives: Clearly help in visualizing and everyday life. numbers, which is help in visualizing and
state the objectives of solving problems · Objectives: Clearly essential for solving problems related
today's lesson. related to sets. state the objectives of understanding the to sets.
today's lesson. structure of the real
number system.

Lesson Language · Examples of Venn Show examples of Examples of Subsets: Show examples of each Show examples of Venn
Practice Diagrams: Venn diagrams subset of real numbers diagrams representing
representing simple  Define and provide (natural numbers, simple sets, subsets,
 Provide simple sets, subsets, unions, examples of natural whole numbers, unions, and intersections.
examples of Venn and intersections. numbers, whole integers, rational Discuss the components
diagrams Discuss the numbers, integers, numbers, and irrational of a Venn diagram and
representing sets components of a Venn rational numbers, numbers) and discuss how it corresponds to set
(e.g., A = {1, 2, 3}, diagram and how it and irrational their definitions. notation.
B = {2, 3, 4}). corresponds to set numbers. Use a number line to
 Illustrate subsets notation.  Discuss the demonstrate where
within Venn properties and each subset is located
diagrams. characteristics of and how they are
each subset. related to each other.
· Union and

Created by: GREG M, Et al

 Intersection in Venn
Diagrams:

 Show examples
of unions and
intersections
using Venn
diagrams.

Reading the Key · Sets and Subsets in Guide students through Classifying Real Guide students through Classifying Real
Idea/Stem Venn Diagrams: the process of drawing Numbers: the process of Numbers:
a Venn diagram for determining whether a
 Define sets and subsets, showing how  Explain how to given number belongs  Explain how to
subsets. subsets are classify a given to a specific subset of classify a given
 Illustrate represented within the number into one of real numbers. number into one of
examples using larger set. the subsets of real Practice exercises the subsets of real
Venn diagrams. Practice exercises numbers. where students classify numbers.
where students draw  Provide examples numbers into the  Provide examples
· Practice: Venn diagrams for and non-examples correct subset. and non-examples
given subsets. for each subset. for each subset.
 Provide practice
problems for
students to draw
Venn diagrams
representing sets
and subsets.

Developing Group Activity: Provide students with Group Activity: Provide students with a Provide students with
Understanding of the problems that require set of numbers and ask problems that require
Key Idea/Stem  Divide students them to draw Venn  Divide students into them to place each them to draw Venn
into small groups diagrams for various set small groups and number on a number diagrams for various set
and provide a set operations, including provide a set of line and identify the operations, including
of problems unions, intersections, problems involving subset(s) to which it unions, intersections, and
involving sets, and subsets. operations with belongs. subsets.
subsets, unions, Facilitate group work subsets of real Facilitate group work Facilitate group work
and intersections. where students can numbers. where students can where students can

Created by: GREG M, Et al

  Have each group discuss their diagrams  Have each group discuss their discuss their diagrams
draw Venn and correct any present their classifications and and correct any
diagrams and misconceptions. solutions and reinforce their misconceptions.
present their explanations to the understanding of the
solutions and class. subsets.
explanations to
the class.

Deepening Real-World Problems: Discuss real-life Real-World Problems: Discuss real-life Discuss real-life
Understanding of the situations where Venn situations where situations where Venn
Key Idea/Stem  Provide examples diagrams can be used,  Provide examples distinguishing between diagrams can be used,
of how Venn such as in market of real-world different subsets of real such as in market
diagrams are research, genetics, and scenarios where numbers is important, research, genetics, and
used in fields event planning. understanding such as in event planning.
such as statistics, Have students come up different subsets of measurements, Have students come up
probability, and with their own examples real numbers is finances, and scientific with their own examples
logic. of how Venn diagrams essential (e.g., calculations. of how Venn diagrams
 Assign a project can be applied in budgeting, Have students come up can be applied in
where students different contexts. measurements, with their own examples different contexts.
find and present a interest of practical applications
real-world calculations). for each subset of real
application of  Assign a project numbers.
Venn diagrams. where students
apply knowledge of
subsets of real
numbers to solve a
practical problem.

Making Summary: Summarize the key Summary: Summarize the key Summarize the key
Generalizations and points of the lesson, points of the lesson, points of the lesson,
Abstractions  Summarize the emphasizing the utility  Summarize the key emphasizing the emphasizing the utility of
key concepts of Venn diagrams in concepts covered distinctions between the Venn diagrams in
covered in the representing set in the lesson, subsets of real numbers representing set
lesson. relationships and emphasizing the and their significance in relationships and solving
 Emphasize the solving problems. importance of mathematics. problems.
importance of Discuss how Venn classifying and Discuss how the Discuss how Venn

Created by: GREG M, Et al

 using Venn diagrams are a understanding of real diagrams are a universal
diagrams to universal tool for understanding number subsets is tool for visualizing data
understand set visualizing data and subsets of real fundamental for more and relationships, not just
operations. relationships, not just in numbers. advanced mathematical in mathematics but in
mathematics but in concepts. various fields.
various fields.

Evaluating Learning Answer the following Answer the following Answer the following Answer the following Quiz day
questions: questions: questions: questions:

In a Venn diagram In a Venn diagram, Which of the following sets Which subset of real
representing two sets A what does the represents the subset of numbers includes all
and B, where does the intersection of two sets real numbers that includes positive integers and
intersection of A and B represent? all integers, both positive zero?
appear? A) Elements that are and negative? A) Whole numbers
only in the first set A) Natural numbers (N) B) Rational numbers
A) Inside A but outside B B) Elements that are B) Whole numbers (W) C) Natural numbers
B) Outside both A and B only in the second set C) Rational numbers (Q) D) Irrational numbers
C) Inside both A and B C) Elements that are in D) Integers (Z) Answer: A
D) Outside A but inside both sets Answer: D
B D) Elements that are in Numbers like
Answer: C neither set Which subset of real 1/3−5/4 and 0.2
Answer: C numbers consists of belong to which subset
What does the area numbers that can be of real numbers?
outside both sets A and If Set A is represented expressed as a ratio of A) Whole numbers
B represent in a Venn by a circle and Set B is two integers where the B) Irrational numbers
diagram? represented by another denominator is not zero? C) Rational numbers
A) Intersection of A and circle in a Venn A) Irrational numbers D) Natural numbers
B diagram, where do you B) Rational numbers Answer: C
B) Union of A and B place elements that are C) Real numbers
C) Elements only in set in Set A but not in Set D) Whole numbers The set of real numbers
A B? Answer: B that includes all
D) Elements only in set A) Inside circle A but integers and their
B outside circle B The set of real numbers negatives is called:
Answer: B B) Inside circle B but that cannot be expressed A) Whole numbers
outside circle A as a finite or repeating B) Natural numbers
If a Venn diagram has C) In the overlapping decimal is called: C) Rational numbers
two circles completely area of circles A and B A) Rational numbers D) Integers

Created by: GREG M, Et al

 separate with no D) Outside both circles B) Integers Answer: D
overlap, what does this A and B C) Irrational numbers
represent? Answer: A D) Natural numbers Which subset of real
A) A subset relationship Answer: C numbers includes all
B) Disjoint sets In a Venn diagram, numbers that can be
C) Complementary sets what does the union of Which subset of real expressed as a
D) Universal set two sets represent? numbers includes all repeating or terminating
Answer: B A) Elements that are positive and negative decimal?
only in the first set numbers, zero, and A) Rational numbers
In a Venn diagram, if A is B) Elements that are fractions? B) Irrational numbers
completely within B, only in the second set A) Irrational numbers C) Whole numbers
what does this indicate C) Elements that are in B) Whole numbers D) Natural numbers
about the relationship both sets C) Rational numbers Answer: A
between A and B? D) Elements that are in D) Natural numbers
A) A is a subset of B neither set Answer: C The number √5
B) B is a subset of A Answer: C belongs to which subset
C) A and B are disjoint Numbers like √2π, and of real numbers?
D) A and B are equal Which region of a Venn e belong to which subset A) Rational numbers
sets diagram represents of real numbers? B) Whole numbers
Answer: A elements that are in A) Irrational numbers C) Irrational numbers
In a Venn diagram, if the neither of the two sets? B) Rational numbers D) Integers
entire diagram is filled A) Inside circle A but C) Natural numbers Answer: C
with both circles outside circle B D) Integers
overlapping, what does B) Inside circle B but Answer: A Which subset of real
this represent? outside circle A numbers includes only
A) The empty set C) In the overlapping Which subset of real the negative integers
B) The universal set area of circles A and B numbers includes only the and zero?
C) A subset relationship D) Outside both circles positive whole numbers? A) Negative numbers
D) Disjoint sets A and B A) Natural numbers B) Whole numbers
Answer: B Answer: D B) Integers C) Integers
C) Rational numbers D) Irrational numbers
If Set A = {1, 2, 3} and D) Irrational numbers Answer: C
Set B = {2, 3, 4}, how Answer: A
many elements are in The set of real numbers
the intersection of A and The set of real numbers that includes all non-
B, as shown in a Venn that includes all numbers integer fractions is
diagram? on the number line, called:
A) 1 including integers, A) Natural numbers
B) 2 fractions, and irrational B) Rational numbers
Created by: GREG M, Et al
 C) 3 numbers, is called: C) Irrational numbers
D) 0 A) Rational numbers D) Whole numbers
Answer: B B) Whole numbers Answer: B
C) Real numbers
In a Venn diagram, if D) Irrational numbers Which subset of real
Set A and Set B do not Answer: C numbers includes all
overlap at all, what can numbers that are not
you conclude about Which subset of real rational?
their intersection? numbers includes zero A) Irrational numbers
A) The intersection is and all positive integers? B) Whole numbers
empty A) Natural numbers C) Rational numbers
B) The intersection is B) Whole numbers D) Natural numbers
the entire universal set C) Rational numbers Answer: A
C) The intersection D) Integers
includes elements only Answer: B The set of real numbers
in Set A that includes all positive
D) The intersection Which subset of real numbers and zero is
includes elements only numbers consists of all called:
in Set B non-negative numbers? A) Positive numbers
Answer: A A) Natural numbers B) Natural numbers
If Set A = {1, 2, 3} and B) Integers C) Non-negative real
Set B = {3, 4, 5}, what is C) Irrational numbers numbers
the union of A and B, as D) Non-negative real D) Integers
represented in a Venn numbers Answer: C
diagram? Answer: D
A) {1, 2, 3, 4, 5} Which subset of real
B) {1, 2} The set of real numbers numbers includes all
C) {3} that are not whole numbers that are not
D) {3, 4, 5} numbers or fractions is whole numbers or
Answer: A called: fractions?
A) Integers A) Rational numbers
What does the empty B) Rational numbers B) Irrational numbers
region outside both C) Irrational numbers C) Natural numbers
circles in a Venn D) Natural numbers D) Integers
diagram represent? Answer: C Answer: B
A) Elements that are in
both sets
B) Elements that are
only in Set A
Created by: GREG M, Et al
 C) Elements that are
only in Set B
D) Elements that are in
neither set
Answer: D

If Set A = {1, 2, 3, 4}
and Set B = {3, 4, 5, 6},
what is the intersection
of A and B, as shown in
a Venn diagram?
A) {1, 2}
B) {3, 4}
C) {3, 4, 5, 6}
D) {5, 6}
Answer: B

Which of the following

statements is true about
the complement of a set
in a Venn diagram?
A) It includes all
elements that are in
both sets
B) It includes all
elements that are in
neither set
C) It includes all
elements that are only
in the first set
D) It includes all
elements that are only
in the second set
Answer: B

Additional Activities · Extra Practice: For students who need · Extra Practice: For students who need
for Application or additional practice, additional practice,
Remediation (if  Provide additional provide more exercises  Provide additional provide more exercises
applicable) worksheets for on drawing and worksheets or on classifying numbers
Created by: GREG M, Et al
 interpreting Venn and using the number
students who diagrams, focusing on online resources for line.
need more areas where they may students who need For advanced students,
practice with have difficulty. more practice with assign projects that
Venn diagrams. For advanced students, subsets of real involve researching the
assign projects that numbers. historical development
· Peer Tutoring: involve creating Venn of the concept of real
diagrams for complex · Peer Tutoring: numbers and their
 Pair students who data sets or exploring subsets or exploring
grasped the the history and other  Pair students who advanced number
concepts quickly applications of Venn grasped the theory concepts related
with those who diagrams beyond set concepts quickly to real number subsets.
need extra help. theory. with those who
need extra help
· Interactive Online understanding
Resources: subsets of real
numbers.
 Direct students to
online resources · Interactive Online
and games for Resources:
further practice
and  Direct students to
reinforcement. online resources
and games for
further practice and
reinforcement of
subsets of real
numbers.

I. REFLECTION
A. No. of learners
earned 80%in the
evaluation.
B. No. of learners
who required

Created by: GREG M, Et al

 additional activities for
remediation who
scored below 80%
C. Did the remedial
lesson work? No. of
learners who have
caught up with the
lesson.
D. No. of learner who
continue to require
remediation
E. Which of my
teaching strategies
worked well? Why did
these work?
F. What difficulties did
I encounter which my
principal or supervisor
can help me solve?
G. What innovation or
localized materials did
I used/discover which
I wish to share with
other teachers?

Prepared by:
Checked by:

Teacher III
School Principal I

Created by: GREG M, Et al